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Math Lectures from MSRI

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The Mathematical Sciences Research Institute (MSRI) exists to further mathematical research through broadly based programs in the mathematical sciences and closely related activities. This library of open educational resources features over 400 video lectures on math topics. These university level course are available for free download.

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Math Lectures from MSRI
Commutative Algebra and the Cohomology of Groups, I
Commutative Algebra and the Cohomology of Groups, I
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Speaker: Dave J. Benson Date: September 2002
Topics: Mathematics, lectures
Math Lectures from MSRI
F.S. Macaulay: An English schoolmaster and abstract algebra
F.S. Macaulay: An English schoolmaster and abstract algebra
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Speaker: Jeremy Gray Date: April 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Noncommutative Algebraic Geometry 3
Noncommutative Algebraic Geometry 3
movies

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Speaker : Stafford
Topics: Mathematics, lecture
Math Lectures from MSRI
Folding and Unfolding: Unfolding Polyhedra
Folding and Unfolding: Unfolding Polyhedra
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Speaker: Joe O'Rourke Date: August 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Combinatorial Methods in Low-Dimensional Topology 3
Combinatorial Methods in Low-Dimensional Topology 3
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Speaker : Cameron Gordon
Topics: Mathematics, lecture
Math Lectures from MSRI
Introduction to Quantum Algorithms: The basics
Introduction to Quantum Algorithms: The basics
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Speaker: Michele Mosca Date: May 2002
Topics: Mathematics, lectures
Math Lectures from MSRI
Noncommutative Algebraic Geometry 2
Noncommutative Algebraic Geometry 2
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Speaker : Stafford
Topics: Mathematics, lecture
Math Lectures from MSRI
Gauge Theory, III
Gauge Theory, III
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Speaker: Richard Thomas Date: August 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Approximate Indexing with Tries.
Approximate Indexing with Tries.
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Speaker : Mortiz Maass Keywords : Analysis of algorithms; approximate pattern matching; tries; average-case analysis; humming distance; indexing. Abstract : We analyze the asympotic average -case behavior of a search process in random tries. A pattern is searched in a set of strings under a certain pair-based error function. Error functions are possible. We find different asympotic behavior dependent on the error probability and the number of mismatches allowed.
Topics: Mathematics, lecture
Math Lectures from MSRI
State Polytopes
State Polytopes
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Speaker: Bernd Sturmfels Date: July 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Gravitational Lensing: Probing the Dark Matter and the Dark Energy
Gravitational Lensing: Probing the Dark Matter and the Dark Energy
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Speaker: David N. Spergel Date: November 2, 2002
Topics: Mathematics, lectures
Math Lectures from MSRI
Kahler metrics and holomorphic foliations
Kahler metrics and holomorphic foliations
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Speaker: Gang Tian Date: August, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Perverse sheaves on loop Grassmannians
Perverse sheaves on loop Grassmannians
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Speaker: Ivan Mirkovic Date: Monday March 18, 2002 11:30 AM - 12:30 PM
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Topics: Mathematics, Lectures
Math Lectures from MSRI
Oscillatory Integrals of Nonlinear PDE, I
Oscillatory Integrals of Nonlinear PDE, I
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Speaker : Carlos Kenig
Topics: Mathematics, lecture
Math Lectures from MSRI
Quantum resonances for non-analytic potentials
Quantum resonances for non-analytic potentials
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Speaker: Andre Martinez Date: May 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
The Cayley Trick
The Cayley Trick
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Speaker: Francisco Santos Date: July 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Noncommutative Algebraic Geometry 1
Noncommutative Algebraic Geometry 1
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Speaker : Stafford
Topics: Mathematics, lecture
Math Lectures from MSRI
Real Algebraic Geometry, Part 1
Real Algebraic Geometry, Part 1
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Speaker : Michael Coste
Topics: Mathematics, lecture
Math Lectures from MSRI
Gauge Theory, II
Gauge Theory, II
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Speaker: Richard Thomas Date: August 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Density of Sphere Packing
Density of Sphere Packing
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Speaker: Jeff Lagarias Date: August 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Group Representation Theory and Quantum Algorithms
Group Representation Theory and Quantum Algorithms
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Speaker: Leornard Schulman Date: August 2002
Topics: Mathematics, lectures
Math Lectures from MSRI
Introduction to Quantum Computing
Introduction to Quantum Computing
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Speaker: Umesh Vazirani Date: August, 2002
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Topics: Mathematics, lectures
Math Lectures from MSRI
Semi-classical thermodynamics of small Fermi systems
Semi-classical thermodynamics of small Fermi systems
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Speaker: Patrick Leboeuf Date: 04/09/03
Topics: Mathematics, lectures
Math Lectures from MSRI
Problems concerning directions of lines and planes in Euclidean spaces
Problems concerning directions of lines and planes in Euclidean spaces
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Speaker: Rom Pinchasi Date: November, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
L^p norms of eigenfunctions in the completely integrable case
L^p norms of eigenfunctions in the completely integrable case
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Speaker: John Toth Date: May 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
On the history of the Frobenius- and Tchebotarev-Density
On the history of the Frobenius- and Tchebotarev-Density
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Speaker: Gunther Frei Date: April, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Relative transition state: Relevence for inelastic scattering
Relative transition state: Relevence for inelastic scattering
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Speaker: Laurant Wiesenfeld Date: 04/11/03
Topics: Mathematics, lectures
Math Lectures from MSRI
The geometric complexity of special Lagrangian T^2 cones
The geometric complexity of special Lagrangian T^2 cones
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Speaker: Mark Haskins Date: August, 2003
Topic: lectures
Math Lectures from MSRI
Computational Geometry and Robust Statistics
Computational Geometry and Robust Statistics
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Speaker: David Eppstein Date: August 2003
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Topics: Mathematics, Lectures
Math Lectures from MSRI
On conflict-free colorings
On conflict-free colorings
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Speaker: Shakkar Smorodinsky Date: October, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Calibrations, III
Calibrations, III
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Speaker: H. Blaine Lawson Date: August 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Complexity and computation of 3D Delaunay trangulations
Complexity and computation of 3D Delaunay trangulations
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Speaker: Nina Amenta Date: October, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
The Haplotype Phasing Problem
The Haplotype Phasing Problem
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Speaker : Richard Karp
Topics: Mathematics, lecture
Math Lectures from MSRI
Maximum Flow Through a Random Network: An Illustration of the Cavity Method.
Maximum Flow Through a Random Network: An Illustration of the Cavity Method.
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Speaker : David Aldous
Topics: Mathematics, lecture
Math Lectures from MSRI
The Yang-Mills flow on Kaehler surfaces
The Yang-Mills flow on Kaehler surfaces
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Speaker: Richard Wentworth Date: November, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Combinatorial Methods in Low-Dimensional Topology 1
Combinatorial Methods in Low-Dimensional Topology 1
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Speaker : Cameron Gordon
Topics: Mathematics, lecture
Math Lectures from MSRI
Combinatorial Methods in Low-Dimensional Topology 4
Combinatorial Methods in Low-Dimensional Topology 4
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Speaker : Cameron Gordon
Topics: Mathematics, lecture
Math Lectures from MSRI
Suffix Trees and Simple Sources
Suffix Trees and Simple Sources
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Speaker : Julien Fayolle
Topics: Mathematics, lecture
Math Lectures from MSRI
Generalizing the Kraft-McMillan Inequality to Restricted Languages.
Generalizing the Kraft-McMillan Inequality to Restricted Languages.
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Speaker : Mordecai Golin Keywords : Analysis of algorithms; Information theory, Kraft McMillan Inequality, Source Coding Abstract : Given a fixed alphabet, a "prefix-code" is a set of words built from the alphabet such that no word in the set is a prefix of any other word in the set. The "Level-Sequence" of a code is a sequence of non-negative integers, in which the i'th integer is the number of words of length i in the code. The Kraft-Inequality provides a necessary and...
Topics: Mathematics, lecture
Math Lectures from MSRI
Overview of Elliptic Curve Cryptology
Overview of Elliptic Curve Cryptology
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Speaker : Neal Koblitz
Topics: Mathematics, lecture
Math Lectures from MSRI
Real Algebraic Geometry, Part 2
Real Algebraic Geometry, Part 2
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Speaker : Michael Coste
Topics: Mathematics, lecture
Math Lectures from MSRI
Real Algebraic Geometry, Part 3
Real Algebraic Geometry, Part 3
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Speaker : Michael Coste
Topics: Mathematics, lecture
Math Lectures from MSRI
Irving "Kaps" Kaplansky's 80th Birthday Celebration
Irving "Kaps" Kaplansky's 80th Birthday Celebration
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Speakers : T.Y. Lam, Irving Kaplansky, Tom Lehrer and others.
Topics: Mathematics, lecture
Math Lectures from MSRI
Holonomy, I
Holonomy, I
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Speaker: Robert Bryant Date: August 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Algorithms in Algebra and Geometry, Part I
Algorithms in Algebra and Geometry, Part I
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Speaker : Dave Bayer
Topics: Mathematics, lecture
Math Lectures from MSRI
Gauge Theory, I
Gauge Theory, I
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Speaker: Richard Thomas Date: August 2003
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Topics: Mathematics, Lectures
Math Lectures from MSRI
Geometry, part I
Geometry, part I
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Speaker : Jan Denef
Topics: Mathematics, lecture
Math Lectures from MSRI
Pavings of polyhedra, glueing of Schubert cells and compactification of configuration spaces, part I
Pavings of polyhedra, glueing of Schubert cells and compactification of configuration spaces, part I
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Abstract: This is a lecture in projective geometry. When studying the compactifications of Drinfeld's moduli spaces of shtukas with level structure or (according to Faltings) local models of Shimura varieties, one is led to the problem of compactifying the quotients PGL(r)x...xPGL(r)/PGL(r) in an equivariant way. A general method for compactifying these quotients is presented. It also applies to configuration spaces of matroids. All the compactified schemes we obtain are endowed with a...
Topics: Mathematics, Lectures
Math Lectures from MSRI
Geometric Combinatorics - Simplicial Complexes and Triangulations
Geometric Combinatorics - Simplicial Complexes and Triangulations
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Speaker: Francis Su
Topics: Mathematics, lecture
Math Lectures from MSRI
Geometric Combinatorics - Polytopes III: Combinatorics of Faces
Geometric Combinatorics - Polytopes III: Combinatorics of Faces
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Speaker: Francis Su
Topics: Mathematics, lecture
Math Lectures from MSRI
Geometric Combinatorics - What are Ehrhart Polynomials?
Geometric Combinatorics - What are Ehrhart Polynomials?
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Speaker: Francis Su
Topics: Mathematics, lecture
Math Lectures from MSRI
Geometric Graph Theory, I
Geometric Graph Theory, I
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Speaker: Janos Pach Date: August 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Cutting Corners
Cutting Corners
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Speaker : Bernd Sturmfels
Topics: Mathematics, lecture
Math Lectures from MSRI
On the early history of commutative algebra with special emphasis on divisbility theories and the foundations of algebraic geometry
On the early history of commutative algebra with special emphasis on divisbility theories and the foundations of algebraic geometry
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Speaker: Olaf Neumann Date: April 2003
Topics: Mathematics, Lectures
Math Lectures from MSRI
Fermat's Last Theorem - The Theorem and Its Proof: An Exploration of Issues and Ideas
Fermat's Last Theorem - The Theorem and Its Proof: An Exploration of Issues and Ideas
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Speaker : Robert Osserman, Lenore Blum, Ken Ribet, John Conway, Lee Dembart
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Topics: Mathematics, lecture
Math Lectures from MSRI
Expected Length of the Longest Common Subsequence for Large Alphabet
Expected Length of the Longest Common Subsequence for Large Alphabet
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Speaker : Marcos Kiwi Keywords : Analysis of algorithms; longest common subsequence; Sankoff & Mainville conjecture; longest increasing sequence; random graphs. Abstract : We consider the length L of the longest common subsequence of two randomly, uniformly and independently chosen n. We prove conjecture of Sankoff and Mainville from the early 80's concerning the asympotic (in k) behavior limiting constant.
Topics: Mathematics, lecture
Math Lectures from MSRI
Recent Developments in Harmonic Analysis, IV
Recent Developments in Harmonic Analysis, IV
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Speaker : Ana Vargas
Topics: Mathematics, lecture
Math Lectures from MSRI
Lattices II
Lattices II
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Speaker: Hendrik Lenstra Date: August, 2000
Topics: Mathematics, lectures
Math Lectures from MSRI
Geometric Measure Theory, Harmonic Analysis and Potential Theory, II
Geometric Measure Theory, Harmonic Analysis and Potential Theory, II
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Speaker : Tatiana Toro
Topics: Mathematics, lecture
Math Lectures from MSRI
Geometric Combinatorics - Polytopes I: Examples and Construction
Geometric Combinatorics - Polytopes I: Examples and Construction
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Speaker: Francis Su
Topics: Mathematics, lecture
Math Lectures from MSRI
Security of Quantum Key Distribution Protocols, Pt 1 & 2
Security of Quantum Key Distribution Protocols, Pt 1 & 2
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Speaker: Michael Ben-Or Date: August 2002
Topics: Mathematics, Lectures
Math Lectures from MSRI
Lecture 10166
Lecture 10166
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Topics: Mathematics, lectures
Math Lectures from MSRI
Positive scalar curvature and Poincare-Einstein fillings
Positive scalar curvature and Poincare-Einstein fillings
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Speaker: Rafe Mazzeo Date: Dec, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Hilbert's Approach and Galois Groups Over k(t)
Hilbert's Approach and Galois Groups Over k(t)
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Speaker : Matzat
Topics: Mathematics, lecture
Math Lectures from MSRI
Quantum Interactive Proofs
Quantum Interactive Proofs
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Speaker: John Watrous Date: Sept, 2002
Topics: Mathematics, lectures
Math Lectures from MSRI
Uniform high frequency resolvent estimates for the Laplace-Beltrami operator on non-compact Riemannian manifolds and applications
Uniform high frequency resolvent estimates for the Laplace-Beltrami operator on non-compact Riemannian manifolds and applications
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Speaker: Georgui Vodev Date: May, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Betti number bounds and their applications
Betti number bounds and their applications
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Speaker: Richard Pollack Date: November, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Historical notes on Emmy noether's 1932 ICM lecture on simple algebras and algebraic number theory
Historical notes on Emmy noether's 1932 ICM lecture on simple algebras and algebraic number theory
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Speaker: Charles Curtis Date: April, 2003
Topics: Mathematics, lectures
Math Lectures from MSRI
Computation by Symmetry Operations in a Structured Neural Model of the Brain Music & Abstract Reasoning
Computation by Symmetry Operations in a Structured Neural Model of the Brain Music & Abstract Reasoning
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Speaker : Gordon Shaw
Topics: Mathematics, lecture
Math Lectures from MSRI
Euclidean Dynamics.
Euclidean Dynamics.
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Speaker : Bridgitte Vallee Keywords: Analysis of algorithms; Euclidean algorithms; continued fraction expansion; dynamical systems; transfer operators; central and local limit theorems. Abstract: We show how dynamical analysis (=analysis of algorithms and dynamical systems) applies to the Euclidean context and provides a very precise distributional analysis of Euclidean algorithms. It proves that, in a strong sense, Euclidean algorithms are Gaussian.
Topics: Mathematics, lecture
Math Lectures from MSRI
Complex Geometry, I
Complex Geometry, I
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Speaker: Zhiqin Lu Date: August 2003
Topics: Mathematics, lecture
Math Lectures from MSRI
Model Theory of Fields
Model Theory of Fields
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Speaker : Zoe Chatzidakis
Topics: Mathematics, lecture
Math Lectures from MSRI
Combinatorial Methods in Low-Dimensional Topology 5
Combinatorial Methods in Low-Dimensional Topology 5
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Speaker : Cameron Gordon
Topics: Mathematics, lecture
Math Lectures from MSRI
Commercial Applications of Cryptology
Commercial Applications of Cryptology
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Speaker : Jim Omura
Topics: Mathematics, lecture
Math Lectures from MSRI
Commutative Algebra of N Points in the Plane, III
Commutative Algebra of N Points in the Plane, III
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Speaker: Mark Haiman Date: September 2002
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Topics: Mathematics, Lectures

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